Question

Which of the following is correct?
(symbols have the usual meaning)

• A. $H=\chi M$
• B. ${\mu }_0=1+\chi$
• C. ${\mu }_r=1+\chi$
• D. $B={\mu }_{0}H+M$

Answer 1

The correct option is C

${\mu }_r=1+\chi$

We just learned that magnetisation (M) depends on magnetic intensity (H) as $M=\chi H$

Also that B = ${\mu }_{0}H+{\mu }_{0}M$
= ${\mu }_{0}H+{\mu }_0\chi H$
= ${\mu }_0(1+\chi )H$
B = ${\mu }_0{\mu }_{r}H$
We have defined ${\mu }_r=1+\chi$